Boundary element analysis of the orthotropic potential problems in 2-d thin structures with the higher order elements

DOI10.1016/j.enganabound.2020.05.009zbMath1464.74243OpenAlexW3033645522MaRDI QIDQ785139

Hu Bin, Hu Zongjun, Li Cong, Cheng Changzheng, Niu Zhongrong

Publication date: 5 August 2020

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2020.05.009

zbMATH Keywords

BEMhigher order elementnearly singular integralorthotropic potentialsemi-analytic algorithmthin structure

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for boundary value problems involving PDEs (65N38)

Cites Work

• Unnamed Item
• Boundary element analysis of the thermal behaviour in thin-coated cutting tools
• An effective method for numerical evaluation of general 2D and 3D high order singular boundary integrals
• Nonsingular BEM formulations for thin-walled structures and elastostatic crack problems
• Analysis of two-dimensional thin structures (from micro- to nano-scales) using the boundary element method
• An adaptive element subdivision method for evaluation of weakly singular integrals in 3D BEM
• A novel semi-analytical algorithm of nearly singular integrals on higher order elements in two dimensional BEM
• Gauss-Jacobi quadratures for weakly, strongly, hyper- and nearly-singular integrals in boundary integral equation methods for domains with sharp edges and corners
• A general algorithm for evaluating nearly strong-singular (and beyond) integrals in three-dimensional boundary element analysis
• The semi-analytical evaluation for nearly singular integrals in isogeometric elasticity boundary element method
• Boundary element analysis of 2D thin walled structures with high-order geometry elements using transformation
• Analytic formulations for calculating nearly singular integrals in two-dimensional BEM
• Analytical integral algorithm in the BEM for orthotropic potential problems of thin bodies
• Domain supplemental approach to avoid boundary layer effect of BEM in elasticity
• Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method
• The sinh transformation for evaluating nearly singular boundary element integrals over high-order geometry elements
• Boundary Layer Effect in BEM with High Order Geometry Elements Using Transformation
• A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals
• The iterated sinh transformation
• Analysis of shell-like structures by the Boundary Element Method based on 3-D elasticity: formulation and verification